複素代数多様体を解析的な手法を用いて研究している.直線束の特異エルミート計量, 乗数イデアル層, 小平型コホモロジー消滅定理を応用することで多様体の様々な代数的・幾何的な性質を研究している.最近は特に多重標準束, およびその相対版に付随したホッジ計量に興味を持っている.

1. Heier G. and Takayama S.: Effective degree bounds for generalized Gauss map images,to appear in a volume of Advanced Studies in Pure Math., Math. Soc. Japan.
2. Takayama S.: On moderate degenerations of polarized Ricci-flat Kähler manifolds,Kodaira Centennial issue of J. Math. Sci. Univ. Tokyo 22 (2015) 469-489.
3. Takayama S.: A local ampleness criterion of torsion free sheaves, Bull. Sci. math. 137 (2013) 659-670.
4. Pacienza G. and Takayama S.: On volumes along subvarieties of line bundles with non-negative Kodaira-Iitaka dimension, Michigan Math. J. 60 (2011) 35-49.
5. Mourougane Ch. and Takayama S.: Extension of twisted Hodge metrics for Kähler morphisms, J. Differential Geom. 83 (2009) 131-161.
6. Mourougane Ch. and Takayama S.: Hodge metrics and the curvature of higher direct images, Ann. Sci. Éc. Norm. supér. 41 (2008) 905-924.
7. Takayama S.: On uniruled degenerations of algebraic varieties with trivial canonical divisor, Math. Z. 259 (2008) 487--501.
8. Takayama S.: On the uniruledness of stable base loci, J. Differential Geom 78 (2008) 521--541.
9. Mourougane Ch., and Takayama S.: Hodge metrics and positivity of direct images, J. Reine Angew. Math. 606 (2007) 167--178.
10. Takayama S.: On the invariance and the lower semi-continuity of plurigenera of algebraic varieties, J. Algebraic Geom. 16 (2007) 1--18.
11. Takayama S.: Pluricanonical systems on algebraic varieties of general type, Invent. Math. 165 (2006) 551--587.
12. Takayama S.: On the existence of pluricanonical forms on varieties with infinite fundamental group, Amer. J. Math. 126 (2004) 1221--1235.
13. Takayama S.: Local simple connectedness of resolutions of log-terminal singularities, Internat. J. Math. 14 (2003) 825--836.
14. Takayama S.: Seshadri constants and a criterion for bigness of pseudo-effective line bundles, Math. Z. 243 (2003) 179--199.
15. Takayama S.: Iitaka's fibrations via multiplier ideals, Trans. Amer. Math. Soc. 355 (2003) 37--47.
16. Takayama S.: On the fundamental groups associated to contractions of extremal rays, J. Algebraic Geom. 10 (2001) 713--724.
17. Takayama S.: Very ample line bundles on quasi-abelian varieties, Math. Z. 236 (2001) 191--200.
18. Bonavero L. and Takayama S.: Some boundedness results for Fano-like Moishezon manifolds, Documenta Math. 5 (2000) 141--150.
19. Kazama H. and Takayama S.: On the $\partial \overline{\partial}$-equation over pseudoconvex Kähler manifolds, Manuscripta Math. 102 (2000) 25--39.
20. Takayama S.: Simple connectedness of weak Fano varieties, J. Algebraic Geom. 9 (2000) 403--407.
21. Kazama H.\ and Takayama S.: $\partial \overline{\partial}$-problem on weakly 1-complete Kähler manifolds, Nagoya Math. J. 155 (1999) 81--94.
22. Takayama S.: Nonvanishing theorems on an algebraic variety with large undamental group, J. Algebraic Geom. 8 (1999) 181--195.
23. Takayama S.: The Levi problem and the structure theorem for non negatively curved complete Kähler manifolds, J. Reine Angew. Math. 504 (1998),139--157.
24. Takayama S.: Adjoint linear series on weakly $1$-complete Kähler manifolds II: Lefschetz type theorem on quasi-abelian varieties, Math. Ann. 312 (1998), 363--385.
25. Takayama S.: Adjoint linear series on weakly $1$-complete Kähler manifolds I: global projective embedding, Math. Ann. 311 (1998), 501--531.
26. Takayama S.: On relative base point freeness of adjoint bundle, Nagoya Math. J. 146 (1997), 185--197.
27. Takayama S.: Remarks on the holomorphic convexity of the universal covering space of a projective manifold, Math. Ann. 304 (1996), 555--560.
28. Takayama S.: A differential geometric property of big line bundles, Tohoku Math. J. 46 (1994), 281--291.
29. Takayama S.: Determinant surfaces of rank 2 bundles on ${\bf P}3$, 1991, Master thesis, Tokyo J. Math. 17 (1994), 321--335.
30. Takayama S.: Ample vector bundles on open algebraic varieties, Publ. RIMS Kyoto Univ. 29 (1993), 885--910.